A dollar bill serial number is a $10-$character string that starts with a letter from the $12$element set

$\{$A$,$B$,$C$,$D$,$E$,$F$,$G$,$H$,$I$,$ J$,$K$,$L$\}$followed by an $8-$digit string $($each digit from the set of $10$digits

$\{0,1,2,3,4,5,6,7,8,9\}$and the $10$th character with a letter or a star from the $25$element set:

$\{$A$,$B$,$C$,$D$,$E$,$F$,$G$,$H$,$I$,$ J$,$K$,$L$,$M$,$N$,$P$,$Q$,$R$,$S$,$T$,$U$,$V$,$W$,$X$,$Y$,*\}.$

How many serial numbers are palindromes?